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Bibliography

Journal Article

Strong solutions of semilinear stochastic partial differential equations

Hofmanová Martina

: Nodea-Nonlinear Differential Equations and Applications vol.20, 3 (2013), p. 757-778

: GAP201/10/0752, GA ČR

: stochastic partial differential equations, strongly elliptic differential operator, strongly continuous semigroup

: 10.1007/s00030-012-0178-x

: http://library.utia.cas.cz/separaty/2013/SI/hofmanova-0393085.pdf

(eng): A Cauchy problem for a semilinear stochastic partial differential equation driven by a finite-dimensional Wiener process is studied. Under the hypothesis that all coefficients are sufficiently smooth, the generator is strongly elliptic and boundary conditions are periodic existence of a continuous strong solution is proved.

: BA